1012201202112 has 112 divisors (see below), whose sum is σ = 2781506044800. Its totient is φ = 324467584000.

The previous prime is 1012201202071. The next prime is 1012201202113. The reversal of 1012201202112 is 2112021022101.

1012201202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1012201202112³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012201202091 and 1012201202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012201202113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035439 + ... + 1759697.

It is an arithmetic number, because the mean of its divisors is an integer number (24834875400).

Almost surely, 2^{1012201202112} is an apocalyptic number.

1012201202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012201202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390753022400).

1012201202112 is an abundant number, since it is smaller than the sum of its proper divisors (1769304842688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012201202112 is a wasteful number, since it uses less digits than its factorization.

1012201202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724554 (or 724544 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1012201202112 its reverse (2112021022101), we get a palindrome (3124222224213).

The spelling of 1012201202112 in words is "one trillion, twelve billion, two hundred one million, two hundred two thousand, one hundred twelve".